EP1962127B1 - Biasphärische progressive Brillenlinse und Methode zu deren Herstellung - Google Patents

Biasphärische progressive Brillenlinse und Methode zu deren Herstellung Download PDF

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Publication number
EP1962127B1
EP1962127B1 EP08158381A EP08158381A EP1962127B1 EP 1962127 B1 EP1962127 B1 EP 1962127B1 EP 08158381 A EP08158381 A EP 08158381A EP 08158381 A EP08158381 A EP 08158381A EP 1962127 B1 EP1962127 B1 EP 1962127B1
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Prior art keywords
refractive
lens
diopter
progressive
vertical direction
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English (en)
French (fr)
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EP1962127A2 (de
EP1962127A3 (de
Inventor
Akira Kitani
Yoshihiro Kikuchi
Takashi Hatanaka
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Hoya Corp
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Hoya Corp
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    • G—PHYSICS
    • G02—OPTICS
    • G02C—SPECTACLES; SUNGLASSES OR GOGGLES INSOFAR AS THEY HAVE THE SAME FEATURES AS SPECTACLES; CONTACT LENSES
    • G02C7/00—Optical parts
    • G02C7/02—Lenses; Lens systems ; Methods of designing lenses
    • G02C7/06—Lenses; Lens systems ; Methods of designing lenses bifocal; multifocal ; progressive
    • G02C7/061—Spectacle lenses with progressively varying focal power
    • G02C7/063—Shape of the progressive surface
    • G—PHYSICS
    • G02—OPTICS
    • G02C—SPECTACLES; SUNGLASSES OR GOGGLES INSOFAR AS THEY HAVE THE SAME FEATURES AS SPECTACLES; CONTACT LENSES
    • G02C7/00—Optical parts
    • G02C7/02—Lenses; Lens systems ; Methods of designing lenses
    • G02C7/024—Methods of designing ophthalmic lenses
    • G02C7/028—Special mathematical design techniques
    • G—PHYSICS
    • G02—OPTICS
    • G02C—SPECTACLES; SUNGLASSES OR GOGGLES INSOFAR AS THEY HAVE THE SAME FEATURES AS SPECTACLES; CONTACT LENSES
    • G02C7/00—Optical parts
    • G02C7/02—Lenses; Lens systems ; Methods of designing lenses
    • G02C7/06—Lenses; Lens systems ; Methods of designing lenses bifocal; multifocal ; progressive
    • G02C7/061—Spectacle lenses with progressively varying focal power
    • G—PHYSICS
    • G02—OPTICS
    • G02C—SPECTACLES; SUNGLASSES OR GOGGLES INSOFAR AS THEY HAVE THE SAME FEATURES AS SPECTACLES; CONTACT LENSES
    • G02C7/00—Optical parts
    • G02C7/02—Lenses; Lens systems ; Methods of designing lenses
    • G02C7/06—Lenses; Lens systems ; Methods of designing lenses bifocal; multifocal ; progressive
    • G02C7/061—Spectacle lenses with progressively varying focal power
    • G02C7/068—Special properties achieved by the combination of the front and back surfaces

Definitions

  • the present invention relates to a bi-aspherical type progressive-power lens, used as, for example, a progressive-power lens for a spectacle for presbyopia that is configured such that a progressive refractive power action is dividedly allotted to a first refractive surface being an object side surface and a second refractive surface being an eyeball side surface, and a combination of the first surface and the second surface gives a farsightedness diopter (Df) and an addition diopter (ADD) based on prescription values, and to a method of designing the same.
  • Df farsightedness diopter
  • ADD addition diopter
  • a progressive-power lens is widely used in general because of an advantage that in appearance it is hardly detected from others as a spectacle for the aged in spite of a spectacle lens for presbyopia, an advantage that it allows a wearer to dearly look continuously from a far distance to a near distance without discontinuity, and so on.
  • each visual field is not always sufficiently wide.
  • it is widely known that it presents disadvantages specific to the progressive-power lens such that there is a region mainly in a side visual field which causes the wearer to feel distortion or sway of an image.
  • Patent Document 1 Recently proposed prior arts include, for example, technologies described in Patent Document 1 and Patent Document 2 and so on, which are generally called rear surface progression (or concave surface progression).
  • the surface structure in the rear surface progression proposed in the Patent Document 1 has a main purpose of improving distortion and sway of an image by allotting a portion or the whole of a necessary addition diopter from an object side surface to an eyeball side surface to reduce the magnification difference of an image between a distance portion and a near portion.
  • the object side surface is made as a spherical surface or a rotationally symmetrical aspherical surface to completely offset the "progressive action," and a "progressive surface” providing a predetermined addition diopter is added (fused) to only the eyeball side surface.
  • the Patent Document 2 proposes that the addition diopter on the "progressive surface” being the object side surface is made lower than a predetermined value and a "progressive surface” providing a deficiency in addition diopter is added (fused) to a "spherical surface” or “astigmatism surface” on the rear surface side.
  • Patent Document 2 discloses the following calculation equations for a lens magnification SM shown in the equation (1) to the equation (3), which is used as a basic evaluation parameter for lens design.
  • Patent Document 2 description in Patent Document 2 is cited.
  • the lens magnification SM is generally expressed by the following equation.
  • SM Mp ⁇ Ms
  • Mp is called a power factor
  • Ms is called a shape factor.
  • a refractive power at the inside vertex (inside vertex refractive power) is Po
  • a thickness at the center of the lens is t
  • a refractive index of the lens is n
  • a base curve (refractive power) of the object side surface of the lens is Pb
  • Ms 1 / 1 - t ⁇ Pb / n
  • the Prior art 1 is not always sufficient from a viewpoint of more accurately calculating the "magnification.”
  • the present invention is provided, and its object is to provide a bi-aspherical type progressive-power lens considering an influence by the aforementioned "angle between a sight line and a lens surface" and “an object distance”, and reducing a magnification difference of images between a distance portion and a near portion of a lens, and providing an excellent visual acuity correction for prescription values and a wide effective visual field with less distortion in wearing, and a method of designing the same.
  • the present invention comprises a lens according to claim 1. At least some of the following structures are pure illustrative and do not necessarily comprise all the features of claim 1.
  • a surface refractive power in a horizontal direction and a surface refractive power in a vertical direction, at a farsightedness diopter measurement position F1 are DHf and DVf respectively
  • a surface refractive power in a horizontal direction and a surface refractive power in a vertical direction, at a nearsightedness diopter measurement position N1 are DHn and DVn respectively
  • relation of DHn and DVn are expressed by DHf + DHn ⁇ DVf + DVn
  • DHn ⁇ DVn surface astigmatism components at F1 and N1 of the first refractive surface are offset by the second refractive surface, and a combination of the first and second refractive surfaces gives
  • a visual field in the horizontal direction can be increased by setting a sharing ratio of a progressive action in the horizontal direction of the eyeball side surface higher, a sight line can be easily moved between the distance and near portions by setting a sharing ratio of a progressive action in the vertical direction of the object side surface higher, and a progressive-power lens having a large binocular visual field with less astigmatism and having less sway and distortion in wearing can be provided.
  • a distribution of transmission astigmatism in a near portion of the bi-aspherical type progressive-power lens is arranged such that a nose side is dense and a temple side is sparse.
  • the transmission astigmatism particularly from the near portion to the side becomes approximate, between the left and right eyes, and an excellent binocular vision can be obtained.
  • a surface refractive power in a horizontal direction and a surface refractive power in a vertical direction, at a farsightedness diopter measurement position F1 are DHf and DVf respectively
  • a surface refractive power in a horizontal direction and a surface refractive power in a vertical direction, at a nearsightedness diopter measurement position N1 are DHn and DVn respectively
  • the relation of DHn and DVn is expressed by DHf + DHn ⁇ DVf + DVn
  • DHn ⁇ DVn surface astigmatism components at F1 and N1 of the first refractive surface are offset by the second refractive surface, and a combination of the first and
  • a visual field in the horizontal direction can be increased by setting a sharing ratio of a progressive action in the horizontal direction of the eyeball side surface higher, a sight line can be easily moved between the distance and near portions by setting a sharing ratio of a progressive action in the vertical direction of the object side surface higher, and a designing method capable of obtaining a progressive-power lens having a large binocular visual field with less astigmatism and having less sway and distortion in wearing can be provided.
  • a distribution of transmission astigmatism in a near portion of the bi-aspherical type progressive-power lens is arranged such that a nose side is dense and a temple side is sparse.
  • the transmission astigmatism particularly from the near portion to the side becomes approximate between the left and right eyes, and an excellent binocular vision can be obtained.
  • a surface refractive power in a horizontal direction and a surface refractive power in a vertical direction, at a farsightedness diopter measurement position F1 are DHf and DVf respectively
  • a surface refractive power in a horizontal direction and a surface refractive power in a vertical direction, at a nearsightedness diopter measurement position N1 are DHn and DVn respectively
  • the relation of DHn and DVn is expressed by DHf + DHn ⁇ DVf + DVn
  • DHn ⁇ DVn surface astigmatism components at F1 and N1 of the first refractive surface are offset by the second refractive surface, and a combination of the first and second refractive surfaces
  • a visual field in the horizontal direction can be increased by setting a sharing ratio of a progressive action in the horizontal direction of the eyeball side surface higher, a sight line can be easily moved between the distance and near portions by setting a sharing ratio of a progressive action in the vertical direction of the object side surface higher, and a progressive-power lens having a large binocular visual field with an appropriate average diopter and having less sway, distortion and blur in wearing can be provided,
  • a distribution of transmission astigmatism in a near portion of the bi-aspherical type progressive-power lens is arranged such that a nose side is dense and a temple side is sparse.
  • the transmission astigmatism particularly from the near portion to the side becomes approximate between the left and right eyes, and an excellent binocular vision can be obtained.
  • a surface refractive power in a horizontal direction and a surface refractive power in a vertical direction, at a farsightedness diopter measurement position F1 are DHf and DVf respectively
  • a surface refractive power in a horizontal direction and a surface refractive power in a vertical direction, at a nearsightedness diopter measurement position N1 are DHn and DVn respectively
  • trhe relation of DHn and DVn is expressed by DHf + DHn ⁇ DVf + DVn
  • DHn ⁇ DVn surface astigmatism components at F1 and N1 of the first refractive surface are offset by the second refractive surface, and a combination of
  • a visual field in the horizontal direction can be increased by setting a sharing ratio of a progressive action in the horizontal direction of the eyeball side surface higher, a sight line can be easily moved between the distance and near portions by setting a sharing ratio of a progressive action in the vertical direction of the object side surface higher, and a designing method capable of obtaining a progressive-power lens having a large binocular visual field with an appropriate average diopter and having less sway, distortion and blur in wearing can be provided.
  • a distribution of transmission astigmatism in a near portion of the bi-aspherical type progressive-power lens is arranged such that a nose side is dense and a temple side is sparse.
  • the transmission astigmatism particularly from the near portion to the side becomes approximate between the left and right eyes, and an excellent binocular vision can be obtained.
  • a surface refractive power in a horizontal direction and a surface refractive power in a vertical direction, at a nearsightedness diopter measurement position N1 are DHn and DVn respectively, the relation of DHn and DVn is expressed by, DVn - DHn > ADD / 2 , a surface astigmatism component at N1 of the first refractive surface is offset by the second refractive surface, and a combination of the first and second refractive surfaces gives a nearsightedness diopter (Dn) based on prescription values.
  • Dn nearsightedness diopter
  • a visual field in the horizontal direction can be increased by setting a sharing ratio of a progressive action in the horizontal direction of the eyeball side surface particularly in the near portion higher, and at the same time, a sharing ratio of a progressive action in the vertical direction of the object side surface is increased, and a progressive-power lens which allows a sight line to move easily between the distance and near portions and has less sway and distortion in wearing can be provided.
  • a surface refractive power in a horizontal direction and a surface refractive power in a vertical direction, at a farsightedness diopter measurement position F1 are DHf and DVf respectively
  • the relation of DHf and DVf is expressed by DHf + DHn ⁇ DVf + DVn
  • DHn - DHf ⁇ ADD / 2 surface astigmatism components at F1 and N1 of the first refractive surface are offset by the second refractive surface, and a combination of the first and second refractive surfaces gives a farsightedness diopter (Df) and an addition diopter (ADD) based on prescription values.
  • Df farsightedness diopter
  • ADD addition diopter
  • a progressive-power lens in which sway and distortion are suppressed in the distance portion and also on the entire lens surface can be provided.
  • the first refractive surface is bilaterally symmetrical with respect to one meridian passing through the farsightedness diopter measurement position F1
  • the second refractive surface is bilaterally asymmetrical with respect to one meridian passing through a farsightedness diopter measurement position F2 of the second refractive surface
  • a position of a nearsightedness diopter measurement position N2 on the second refractive surface is shifted inward to a nose by a predetermined distance.
  • a larger binocular vision can be provided particularly when moving a sight line from the distance portion to the near portion.
  • the first refractive surface is a rotation surface with one meridian passing through the farsightedness diopter measurement position F1 as a generating line
  • the second refractive surface is bilaterally asymmetrical with respect to one meridian passing through a farsightedness diopter measurement position F2 on the second refractive surface
  • an arrangement of a nearsightedness diopter measurement position N2 on the second refractive surface is shifted inward to a nose by a predetermined distance.
  • a sectional curve in the horizontal direction passing through the farsightedness diopter measurement position F1 is not a perfect circle but has a predetermined refractive powder change, and a sectional curve of a cross section in the vertical direction including a normal line at an arbitrary position on the sectional curve in the horizontal direction is substantially the same as a meridian passing through the farsightedness diopter measurement position F1.
  • an aspherical correction is performed to at least one or more items of occurrence of astigmatism and a diopter error and occurrence of distortion of an image in a peripheral visual field, due to the fact that the sight line in a wearing state and a lens surface can not intersect at right angles.
  • a progressive-power lens in which occurrence of transmission astigmatism and transmission diopter error, distortion of an image in a peripheral vision, and the like are suppressed by the above-described aspherical correction, in addition to the effect of any one of the ninth structure, to the 13th structure.
  • a surface refractive power in a horizontal direction and a surface refractive power in a vertical direction, at a nearsightedness diopter measurement position N1 are DHn and DVn respectively, the relation of DHn and DVn is expressed by DVn - DHn > ADD / 2 , and a surface astigmatism component at N1 of the first refractive surface is offset by the second refractive surface, and a combination of the first and second refractive surfaces gives a nearsightedness diopter (Dn) based on prescription values.
  • Dn nearsightedness diopter
  • a visual field in the horizontal direction can be increased by setting a sharing ratio of a progressive action in the horizontal direction of the eyeball side surface particularly in the near portion higher, and at the same time, a sharing ratio of a progressive action in the vertical direction of the object side surface is increased, and a designing method capable of obtaining a progressive-power lens which allows a sight line to move easily between the distance and near portions and has less sway and distortion in wearing can be provided.
  • a surface refractive power in a horizontal direction and a surface refractive power in a vertical direction, at a farsightedness diopter measurement position F1 are DHf and DVf respectively
  • the relation of DHf and DVf is expressed by DHf + DHn ⁇ DVf + DVn
  • DHn - DHf ⁇ ADD / 2 surface astigmatism components at F1 and N1 of the first refractive surface are offset by the second refractive surface
  • a combination of the first and second refractive surfaces gives a farsightedness diopter (Df) and an addition diopter (ADD) based on prescription values.
  • a designing method capable of obtaining a progressive-power lens in which sway and distortion are suppressed in the distance portion and also on the entire lens surface can be provided.
  • the first refractive surface is bilaterally symmetrical with respect to one meridian passing through the farsightedness diopter measurement position F1
  • the second refractive surface is bilaterally asymmetrical with respect to one meridian passing through a farsightedness diopter measurement position F2 of the second refractive surface
  • a position of a nearsightedness diopter measurement position N2 on the second refractive surface is shifted inward to a nose by a predetermined distance.
  • a larger binocular vision can be provided particularly when moving a sight line from the distance portion to the near portion.
  • the first refractive surface is a rotation surface with one meridian passing through the farsightedness diopter measurement position F1 as a generating line
  • the second refractive surface is bilaterally asymmetrical with respect to one meridian passing through a farsightedness diopter measurement position F2 on the second refractive surface
  • a position of a nearsightedness diopter measurement position N2 on the second refractive surface is shifted inward to a nose by a predetermined distance.
  • a sectional curve in the horizontal direction passing through the farsightedness diopter measurement position F1 is not a perfect circle but has a predetermined refractive power change, and a sectional curve of a cross section in the vertical direction including a normal line at an arbitrary position on the sectional curve in the horizontal direction is substantially the same as a meridian passing through the farsightedness diopter measurement position F1.
  • an aspherical correction is performed to at least one or more items of occurrence of astigmatism and a diopter error and occurrence of distortion of an image in a peripheral visual field, due to the fact that a sight line and a lens surface in a wearing state intersect at right angles.
  • a progressive-power lens in which occurrence of transmission astigmatism and transmission diopter error, distortion of an image in a peripheral vision, and the like are suppressed by the above-described aspherical correction, in addition to the effect of any one of the 15th structure to the 19th structure.
  • a surface refractive power in a horizontal direction and a surface refractive power in a vertical direction, at a farsightedness diopter measurement position F1 are DHf and DVf respectively
  • a surface refractive power in a horizontal direction and a surface refractive power in a vertical direction, at a nearsightedness diopter measurement position N1 are DHn and DVn respectively
  • the relation of DHn and DVn is expressed by DVn - DVf > ADD / 2
  • surface astigmatism components at F1 and N1 of the first refractive surface are offset by the second refractive surface
  • a combination of the first and second refractive surfaces gives an addition diopter (ADD) based on prescription values
  • deformation of a surface on the object side surface can be decreased and sway and distortion of an image can be suppressed particularly in a frequently used center region of the progressive-power lens by setting a sharing ratio of a progressive action in the vertical direction of the object side surface higher.
  • a surface refractive power in a horizontal direction and a surface refractive power in a vertical direction, at a farsightedness diopter measurement position F1 are DHf and DVf respectively
  • a surface refractive power in a horizontal direction and a surface refractive power in a vertical direction, at a nearsightedness diopter measurement position N1 are DHn and DVn respectively
  • the relation of DHn and DVn is expressed by DVn - DVf > ADD / 2
  • surface astigmatism components at F1 and N1 of the first refractive surface are offset by the second refractive surface
  • a combination of the first and second refractive surfaces gives an addition diopter (ADD) based on prescription values
  • deformation of a surface on the object side surface can be decreased and sway and distortion of an image can be suppressed particularly in a frequently used center region of the progressive-power lens by setting a sharing ratio of a progressive action in the vertical direction of the object side surface higher.
  • evaluation of an optical performance of a lens becomes easy by using the surface astigmatism amount and the surface average diopter as indexes.
  • a surface refractive power in a horizontal direction and a surface refractive power in a vertical direction, at a farsightedness diopter measurement position F1 are DHf and DVf respectively
  • a surface refractive power in a horizontal direction and a surface refractive power in a vertical direction, at a nearsightedness diopter measurement position N1 are DHn and DVn respectively
  • the relation of DHn and DVn is expressed by DVn - DVf > ADD / 2
  • surface astigmatism components at F1 and N1 of the first refractive surface are offset by the second refractive surface
  • a combination of the first and second refractive surfaces gives an addition diopter (ADD)
  • deformation of a surface on the object side surface can be decreased and sway and distortion of an image can be suppressed particularly in a frequently used center region of the progressive-power lens by setting a sharing ratio of a progressive action in the vertical direction of the object side surface higher.
  • a surface refractive power in a horizontal direction and a surface refractive power in a vertical direction, at a farsightedness diopter measurement position F1 are DHf and DVf respectively
  • a surface refractive power in a horizontal direction and a surface refractive power in a vertical direction, at a nearsightedness diopter measurement position N1 are DHn and DVn respectively
  • the relation of DHn and DVn is expressed by DVn - DVf > ADD / 2
  • surface astigmatism components at F1 and N1 of the first refractive surface are offset by the second refractive surface
  • a combination of the first and second refractive surfaces gives an addition diopter (ADD)
  • deformation of a surface on the object side surface can be decreased and sway and distortion of an image can be suppressed particularly in a frequently used center region of the progressive-power lens by setting a sharing ratio of a progressive action in the vertical direction of the object side surface higher.
  • evaluation of an optical performance of a lens becomes easy by using the surface astigmatism amount and the surface average diopter as indexes.
  • a progressive action of a progressive-power lens is divided in the vertical direction and the horizontal direction of a lens and then an optimal sharing ratio between the front and rear two surfaces of the object side and the eyeball side is set in each direction to configure one bi-aspherical type progressive-power lens, a sharing ratio of a progressive action in the horizontal direction of a rear surface (eyeball side surface) is set higher so that an advantage of increasing the visual field in the horizontal direction can be obtained, a sharing ratio of a progressive action in the vertical direction of a front surface (object side surface) is set higher so that a disadvantage of increasing an eyeball turning angle between the distance and near portions in the vertical direction can be restrained
  • a wide effective visual field with less distortion in wearing can be provided by reducing a magnification difference of an image between the distance portion and the near portion on the progressive-power lens.
  • a "bilaterally symmetrical semi-finished product" as an object side surface of the progressive-power lens and it is also possible to machine only the eyeball side surface after receiving an order into a bilaterally asymmetrical curved surface corresponding to a convergence action of an eye in nearsightedness, and a machining time and cost can be reduced.
  • Fig. 1 is an explanatory view of various surface refractive powers at positions on a spectacle lens surface
  • Fig. 2 is an explanatory view of a positional relation among an eyeball, sight lines, and a lens
  • Fig. 3-1 , Fig. 3-2 , and Fig. 3-3 and Fig. 4-1 , Fig. 4-2, and Fig. 4-3 are explanatory views on a magnification M ⁇ of a prism, being explanatory views on a difference between a plus lens and a minus lens and on a difference in magnification in viewing mainly using a near portion which is a lower portion of a lens
  • Fig. 1 is an explanatory view of various surface refractive powers at positions on a spectacle lens surface
  • Fig. 2 is an explanatory view of a positional relation among an eyeball, sight lines, and a lens
  • FIG. 5-1 is an explanatory view of an optical layout of progressive-power lens, being a front view of the progressive-power lens when viewed from an object side surface
  • Fig. 5-2 is an explanatory view of the optical layout of the progressive-power lens, being a side view illustrating a cross section in the vertical direction
  • Fig. 5-3 is an explanatory view of the optical layout of the progressive-power lens, being an elevational view illustrating a cross section in the transverse direction
  • Fig. 6 is an explanatory view illustrating the difference of definition on "addition diopter.”
  • symbol F denotes a farsightedness diopter measurement position
  • symbol N denotes a nearsightedness diopter measurement position
  • symbol Q denotes a prism diopter measurement position.
  • other symbols shown in Fig. 1 and so on denote,
  • symbols F1 and F2 denote farsightedness diopter measurement positions on the object side surface and the eyeball side surface
  • symbols N1 and N2 denote nearsightedness diopter measurement positions on the object side surface and the eyeball side surface.
  • symbol E is an eyeball
  • symbol C a center of rotation of the eyeball
  • symbol S a reference surface around C
  • symbol M is a curved line called a principal sight line through which a sight line passes when one looks with both eyes from an upper front to a lower front portion.
  • symbols F1, N1, F2, N2, and N3 indicate positions, on which an opening of a lens meter is placed, differing depending on the definition of the "addition diopter.”
  • the present inventor decided to obtain, as will be explained below, a calculation equation of a magnification corresponding to the near portion improved by "corresponding parameters to the near portion” that is the problem (a) and “considering the object distance” that is the problem (d), which are explained in the above-described prior art.
  • SM Mp ⁇ Ms
  • the objective power (inverse number of the object distance expressed in a unit of m) to a visual target is Px
  • the distance from the eyeball side surface in the near portion of the lens to the eyeball is L
  • the refractive power in the near portion is Po
  • the thickness in the near portion of the lens is t
  • the refractive index of the lens is n
  • the base curve (refractive power) of the object side surface in the near portion of the lens is Pb
  • the value of Mp increases in the equation (2') because the value of the numerator increases, and the value of Ms decreases in the equation (3') because the value of the denominator increases.
  • Ms 1, which shows that the shape factor in the nearsightedness is completely irrelevant to the magnification of an image.
  • the refractive powers, power factors, and shape factors have different values between the vertical and horizontal directions as described above, resulting in a difference in magnification occurring between the vertical direction and the horizontal direction.
  • an optical path along the sight line is calculated using Snell's law to calculate L, t, and the distance from the object side refractive surface to an object point. Then, along this optical path, the first fundamental form, the second fundamental form, Weingarten formulas, or the like in differential geometry can be used to calculate the refractive power with the influence of refraction on the optical path on the object side refractive surface and the eyeball side refractive surface of a lens taken into consideration.
  • the inside vertex refractive power in the vertical direction in the near portion: Pov the inside vertex refractive power in the horizontal direction in the near portion: Poh
  • the vertical section refractive power on the object side surface in the near portion: Pbv the vertical section refractive power on the object side surface in the near portion: Pbh
  • the transverse section refractive power on the object side surface in the near portion: Pbh can be obtained at an accuracy much higher than that in a case using Martin's approximate equations.
  • the magnification M ⁇ of the prism varies depending on the incident angle and exit angle of rays to/from the prism.
  • an angle magnification ⁇ when a ray incident from a vacuum to a medium with a refractive index n, as shown on the left side in Fig. 3-1 and Fig. 4-1 ) is refracted on the surface of the medium is considered.
  • n Sin i / Sin r by well-known Snell's law.
  • n ⁇ 1 generally i ⁇ r and ⁇ ⁇ 1.
  • n ⁇ 1 generally r' ⁇ i' and ⁇ ' ⁇ 1.
  • ⁇ ' becomes a theoretical maximum value
  • ⁇ ' ⁇ .
  • r' ⁇ /2, and thus i' is equal to a critical angle of total reflection when a ray exits from the medium.
  • a case in which a ray incident on the object side surface of one spectacle lens passes through the inside of the lens, exits from the eyeball side surface, and reaches an eyeball, is considered (hereinafter, it should be conveniently considered that the refractive index of air is approximated to be 1 that is the same as in a vacuum to simplify description).
  • magnifications M ⁇ of a prism have a directional property. More specifically, when the distribution of prisms in a progressive-power lens is considered, it naturally varies depending on the diopter and prescription prism value, in which generally prisms in the farsightedness near the lens center are small and prisms in the vertical direction in the nearsightedness located at a lower portion of the lens are large. Therefore, it can be said that the magnification M ⁇ of the prism has great influence especially on the vertical direction in the nearsightedness.
  • the present invention aims to further multiply the product by the magnification M ⁇ of a prism to obtain a correct magnification of a lens.
  • the distance portion is lower than the near portion in surface refractive power of a "progressive surface.” being the object side surface.
  • the distance portion is set equal to the near portion in surface refractive power of a "progressive surface” being the object side surface, thereby changing the ratio in the shape factor between the distance and near portions and decreasing the magnification difference of an image between the distance and near portions, so as to improve the distortion and sway of an image by the progressive-power lens.
  • a first problem is influence by the prism factor M ⁇ v in the vertical direction.
  • a second problem is one occurring only when the near portion has a positive refractive power especially in the vertical direction. Specifically, when the surface refractive power difference in the vertical direction is decreased, the angle between the sight line and the lens surface in the nearsightedness is further increased, whereby the power factor Mpv in the vertical direction is increased and acts doubly with the increase in the prism factor M ⁇ v in the vertical direction, which is the first problem, to increase the magnification SMv in the vertical direction, resulting in a disadvantage that the magnification difference of an image between the distance and near portions increases.
  • the visual field is widened which is generally regarded as a merit of rear surface progression (or concave surface progression) that is the eyeball side of a lens as described below.
  • the present invention includes the progressive refracting surface which satisfies the relational equations DHf + DHn ⁇ DVf + DVn and DHn ⁇ DVn, or DVn - DVf > ADD/2 and DHn - DHf ⁇ ADD/2 as described above, and thus the present invention has characteristics created by the rear surface progression (or concave surface progression) greater than those by the conventional front surface progression (or convex surface progression) in the horizontal direction, and characteristics created by the conventional front surface progression (or convex surface progression) greater than those by the rear surface progression (or concave surface progression) in the vertical direction. Therefore, according to the present invention, it is possible to restrain the disadvantage of increasing the eyeball turning angle between the distance and near portions in the vertical direction while receiving the advantage of increasing the visual field in the horizontal direction.
  • the above things are also effective for decreasing the magnification difference of an image between the distance portion and the near portion and improving the distortion and sway of the image as described above, and thus they can be said to be effects of the present invention.
  • the most important characteristic of the present invention is that a progressive action of a progressive-power lens is divided in the vertical direction and the horizontal direction of the lens, and then an optimal sharing ratio between the front and rear two surfaces is set in each direction to configure one bi-aspherical type progressive-power lens.
  • the sharing ratio of the progressive action in the vertical direction of the object side surface and the sharing ratio of the progressive action in the horizontal direction of the eyeball side surface of the lens can be set in a form surpassing at least 50%.
  • it is also possible to set a sharing ratio such that all the progressive action in the vertical direction is provided by the object side surface of the lens, and all the progressive action in the horizontal direction is provided by the eyeball side surface of the lens.
  • either of the front and rear two faces of the lens does not function as a normal progressive surface only by one surface, and the addition diopter as a progressive surface cannot be specified. Then, a cylindrical surface or the like is combined with this surface based on a prescription.
  • the preset invention does not have a structure such that the progressive action is separately set in the vertical direction and the horizontal direction on the object side surface and the eyeball side surface of a lens.
  • the lens according to the present invention is a bi-aspherical type progressive-power lens having an utterly novel structure such that an aspherical surface having progressive actions different in both the vertical and horizontal directions is used for both surfaces.
  • Input information for defining a predetermined progressive-power spectacle lens in lens design is set.
  • the input information is roughly divided into the following two types, item specific information and wearer specific information, to be explained (incidentally, factors other than those for optical design are omitted).
  • lens physicality/form factor such as a refractive index of a raw material Ne, a minimum center thickness CTmin, a minimum edge thickness ETmin, progressive surface design parameters, and so on.
  • a farsightedness diopter a spherical surface diopter S, a cylindrical diopter C, a cylindrical axis AX, a prism diopter P, a prism base direction PAX, and so on
  • an addition diopter ADD frame shape data (preferably, three-dimensional shape data)
  • frame wearing data a forward tilt angle, a horizontal tilt angle, and so on
  • an inter-vertex distance a farsightedness PD, a nearsightedness CD, an eye point position, and so on
  • other data on an eyeball such as a farsightedness diopter (a spherical surface diopter S, a cylindrical diopter C, a cylindrical axis AX, a prism diopter P, a prism base direction PAX, and so on)
  • ADD addition diopter
  • frame shape data preferably, three-dimensional shape data
  • frame wearing data a forward tilt angle, a horizontal tilt angle, and so on
  • an inter-vertex distance a farsightedness PD, a nearsightedness CD
  • progressive surface design parameters such as a progressive zone length specified by a wearer, a measuring method of an addition diopter, an amount of inner shift of the near portion are classified into the wearer specific information.
  • a lens In an initial stage, a lens is designed, divided into a convex surface and a concave surface, as a conventional type convex progressive-power lens.
  • a conventional type convex progressive surface shape is designed in accordance with the progressive surface design parameters being the input information, Various conventional lens design methods can be used in the design in this step.
  • a specific example of this lens design method is, for example, a method of setting first a "principal meridian" corresponding to the spine of a lens when forming a lens surface. It is preferable that the "principal meridian” is finally a "principal sight line” corresponding to an intersecting line of a sight line and a lens surface when a spectacle wearer looks with both eyes from a front upper portion (far) to a lower portion (near).
  • the inner shift of the near region in response to the convergence action of the eye in the nearsightedness is not necessarily dealt with through inner shift of the "principal sight line" as will be described later.
  • the "principal sight line” here is defined as one meridian (principal meridian) in the vertical direction which passes through the lens center and divides the lens surface into a right part and a left part, Further, a lens has front and rear two surfaces, and thus there are two “principal meridians” on the front and rear surfaces.
  • the "principal meridian” looks straight when viewed perpendicularly to the lens surface, but it generally becomes a curved line in a three-dimensional space when the lens surface is a curved surface.
  • an appropriate refractive power distribution along the "principal meridian" is set.
  • the refractive power distribution can be set dividedly to the front and rear two surfaces, with the influence by the thickness of the lens and an angle between a sight line and a refractive surface taken into consideration, all the progressive action should be provided on a first refractive surface being an object side surface since the conventional type convex progressive surface shape is adopted in the design in this step.
  • the transmission refractive power D can be approximately obtained as D ⁇ D1 - D 2 .
  • the combination of D1 and D2 in this lens preferably has a meniscus shape in which the object side surface is convex and the eyeball side surface is concave.
  • D2 has a positive value here.
  • the rear surface of the lens is generally a concave surface and thus has a surface refractive power of a negative value
  • D2 should be given a positive value in this specification for simplification of description to calculate the transmission refractive power D by subtracting D2 from D1.
  • All the "sectional curved lines in the horizontal direction” can be simple circular curved lines having surface refractive powers at the intersections, and can also be made with applications by various prior arts incorporated thereto.
  • One of conventional technologies on surface refractive power distribution along the "sectional curved line in the horizontal direction” is, for example, a technology in Japanese Patent Publication No.
  • a concave surface shape is designed.
  • the surface becomes a cylindrical surface if the farsightedness diopter includes a cylindrical diopter, and a spherical surface if not.
  • the center thickness CT suitable for the diopter and the tilt angle between surfaces, the convex surface and the concave surface are also designed at the same time, thus determining the shape as a lens.
  • Various conventional known design technologies can also be used in the design in this step.
  • the conventional type convex progressive-power lens is converted into the shape as a lens of the present invention.
  • the conventional type convex progressive surface is converted into the convex surface shape of the present invention.
  • they are divided in the vertical direction and the horizontal direction of the lens in advance to set preferable sharing ratios between the front and rear two surfaces in each direction.
  • the above-described first convex progressive lens surface (the first refractive surface being the object side surface) is converted into a progressive refracting surface which satisfies the relational equations, DHf + DHn ⁇ DVf + DVn , and DHn ⁇ DVn , or the relational equations, DVn - DVf > ADD / 2 , and DHn - DHf ⁇ ADD / 2. In this embodiment, it is set to satisfy the both.
  • the shape is preferably converted into the convex surface shape of the present invention without changing the average surface refractive power of the whole convex surface.
  • the value is, however, preferred to be within a range keeping a meniscus shape of the lens, in which the object side surface is convex and the eyeball side surface is concave.
  • the amount of transformation in converting from the conventional type convex progressive surface into the convex surface shape of the present invention in the above-described [3]-1, is added to the concave surface shape designed in [2]-2.
  • the amount of transformation, identical to that of the front surface (the first refractive surface being the object side surface) of the lens added in the process [3]-1, is added to the rear surface (the second refractive surface being the eyeball side surface) of the lens.
  • This transformation is not uniform over the whole lens surface though it is similar to "bending" in which the lens itself is bent, but makes a surface which satisfies the relational equations described in [3]-1.
  • the transmission design means a designing method for obtaining an essential optical function in the situation in which a wearer actually wears a lens, a designing method of adding a "correction action" for eliminating or reducing occurrence of astigmatism and change in diopter primarily caused by impossibility of a sight line intersecting at right angles with a lens surface.
  • the difference of optical performance of the lens with respect to a target essential optical performance is grasped through accurate ray tracing calculation in accordance with the direction of the sight line, and surface correction (curve correction) to offset the difference is implemented, By repeating this, the difference can be minimized to obtain an optimal solution.
  • the difference of optical performance of the lens with respect to a target essential optical performance is grasped through accurate ray tracing calculation in accordance with the direction of the sight line, and surface correction to offset the difference is implemented. By repeating this operation, the difference can be minimized to obtain an optimal solution.
  • [4]-3 Concave surface shape (the present invention) design for an inner shift-compliant design of a near portion
  • a design technique is adopted in which a principal meridian (M) from a farsightedness diopter measurement position (F) to a nearsightedness diopter measurement position (N) is displaced toward the nose side, as shown in Fig, 1 and the explanatory view of the optical layout of progressive-power spectacle lens of Fig. 5-1 .
  • This design technique is a method in which convergence of an eye is taken into consideration, and the displacement amount of the principal meridian toward the nose side according to a convergence action is set based on the following equation. Displacement amount H ⁇ A ⁇ D + B
  • H is the displacement amount toward the nose side from the farsightedness diopter measurement position (F) on the principal meridian (M)
  • D is an additional refractive power (addition diopter ADD)
  • A is a proportional constant
  • B is a constant (including 0).
  • a specific value of the displacement amount is different depending on a prescription or an addition diopter of a lens and can be set discretionary, but the following method can be adopted for example,
  • Fig. 5-1 when a coordinate system is assumed such that, with the aforementioned point F being the origin, the rightward direction is the coordinate axis H (displacement amount in the horizontal direction), and the downward direction is the coordinate axis V (vertical direction), an H coordinate and a V coordinate of the nearsightedness diopter measurement position are H MAX , V MAX respectively, and an addition diopter thereof is D MAX .
  • the displacement amount of each point on the meridian (M) from the farsightedness diopter measurement position (F) to the nearsightedness diopter measurement position (N) is set on every coordinate of V to thereby achieve the inner shift.
  • arrangement of the principal meridian (principal sight line) according to the convergence action of an eye is not limited to the above-described equation, where adjustment of a convergence amount and other factors may be added.
  • the present invention adopts a surface structure being a bi-aspherical surface, it is not always necessary to start processing of both surfaces after acceptance of an order.
  • one of the "semi-finished products of the object side surface" is selected according to a specification such as a prescription diopter or the above-described custom-made product (individual design), which is then processed only on the eyeball side surface to be finished after the acceptance of the order, so that the cost can be reduced and the processing speed can be increased.
  • the eyeball side surface of this lens is designed as a bilaterally asymmetrical curved surface (distributions of astigmatism on refractive surfaces of a progressive portion and a near portion are asymmetrical with respect to the principal meridian) meeting the purpose, whereby the inner shift of the near portion in response to the individual information can be performed.
  • Fig. 7 is a view collectively showing in Table 1-1 and Table 1-2 "surface refractive powers” and “results of accurate magnification calculations in a direction of a specific sight line" of Examples 1, 4, 5, and 6 and Prior arts A, B, and C corresponding to the diopters of Examples 1, 4, 5, and 6.
  • Fig. 8 is a view collectively showing in Table 2-1 and Table 2-2 "surface refractive powers” and “results of accurate magnification calculations in a direction of a specific sight line" of Examples 2 and 7 and Prior arts A, B, and C corresponding to the diopters of Examples 2 and 7.
  • Fig. 8 is a view collectively showing in Table 2-1 and Table 2-2 "surface refractive powers” and “results of accurate magnification calculations in a direction of a specific sight line” of Examples 2 and 7 and Prior arts A, B, and C corresponding to the diopters of Examples 2 and 7.
  • FIG. 9 is a view collectively showing in Table 3-1 and Table 3-2 "surface refractive powers" and “results of accurate magnification calculations in a direction of a specific sight line" of Example 3 and Prior arts A, B, and C corresponding to the diopters of the example 3.
  • Fig. 10 is a view showing Graphs 1-1, 1-2, 2-1, and 2-2 representing the surface refractive power distributions of Example 1 and Example 2
  • Fig. 11 is a view showing Graphs 3-1 and 3-2 representing the surface refractive power distributions of Example 3
  • Fig. 12 is a view showing Graphs 4-1, 4-2, 5-1, 5-2, 6-1 and 6-2 representing the surface refractive power distributions of Example 4 to Example 6, Fig.
  • FIG. 13 is a view showing Graphs 7-1 and 7-2 representing the surface refractive power distributions of Example 7, and Fig. 14 is a view showing Graphs A-1, A-2, B-1, B-2, C-1 and C-2 representing the surface refractive power distributions of Prior art examples A, B, and C.
  • Fig. 15 shows Graph 1-3-Msv representing the results, obtained by performing accurate magnification calculations, of magnification distributions when lenses of Example 1 and three kinds of Prior art examples A, B, and C corresponding to the diopters of Example 1 are viewed along principal sight lines
  • Fig. 16 shows Graph 1-3-Msh representing results, obtained by performing accurate magnification calculations, of the magnification distributions when the lenses of Example 1 and the three kinds of Prior art examples A, B, and C corresponding to the diopters of Example 1 are viewed along the principal sight lines
  • Fig. 15 shows Graph 1-3-Msv representing the results, obtained by performing accurate magnification calculations, of magnification distributions when lenses of Example 1 and three kinds of Prior art examples A, B, and C corresponding to the diopters of Example 1 are viewed along the principal sight lines
  • Fig. 16 shows Graph 1-3-Msh representing results, obtained by performing accurate magnification calculations, of the magnification distributions when the lenses of Example 1 and the three kinds of
  • FIG. 17 shows Graph 1-3-Mpv representing results, obtained by performing accurate magnification calculations, of the magnification distributions when the lenses of Example 1 and the three kinds of Prior art examples A, B, and C corresponding to the diopters of Example 1 are viewed along the principal sight lines
  • Fig. 18 shows Graph 1-3-Mph representing results, obtained by performing accurate magnification calculations, of the magnification distributions when the lenses of Example 1 and the three kinds of Prior art examples A, B, and C corresponding to the diopters of Example 1 are viewed along the principal sight lines
  • Fig. 18 shows Graph 1-3-Mph representing results, obtained by performing accurate magnification calculations, of the magnification distributions when the lenses of Example 1 and the three kinds of Prior art examples A, B, and C corresponding to the diopters of Example 1 are viewed along the principal sight lines
  • FIG. 19 shows Graph 1-3-M ⁇ v representing results, obtained by performing accurate magnification calculations, of the magnification distributions when the lenses of Example 1 and the three kinds of Prior art examples A, B, and C corresponding to the diopters of Example 1 are viewed along the principal sight lines
  • Fig. 20 shows Graph 1-3-M ⁇ h representing results, obtained by performing accurate magnification calculations, of the magnification distributions when the lenses of Example 1 and the three kinds of Prior art examples A, B, and C corresponding to the diopters of Example 1 are viewed along the principal sight lines
  • Fig. 20 shows Graph 1-3-M ⁇ h representing results, obtained by performing accurate magnification calculations, of the magnification distributions when the lenses of Example 1 and the three kinds of Prior art examples A, B, and C corresponding to the diopters of Example 1 are viewed along the principal sight lines
  • FIG. 21 shows Graph 1-3-SMv representing results, obtained by performing accurate magnification calculations, of the magnification distributions when the lenses of Example 1 and the three kinds of Prior art examples A, B, and C corresponding to the diopters of Example 1 are viewed along the principal sight lines
  • Fig. 22 shows Graph 1-3-SMh representing results, obtained by performing accurate magnification calculations, of the magnification distributions when the lenses of Example 1 and the three kinds of Prior art examples A, B, and C corresponding to the diopters of Example 1 are viewed along the principal sight lines.
  • Fig. 23 shows Graph 2-3-Msv representing results, obtained by performing accurate magnification calculations, of magnification distributions when lenses of Example 2 and three kinds of Prior art examples A, B, and C corresponding to the diopters of Example 2 are viewed along principal sight lines
  • Fig. 24 shows Graph 2-3-Msh representing results, obtained by performing accurate magnification calculations, of the magnification distributions when the lenses of Example 2 and the three kinds of Prior art examples A, B, and C corresponding to the diopters of Example 2 are viewed along the principal sight lines
  • Fig. 23 shows Graph 2-3-Msv representing results, obtained by performing accurate magnification calculations, of magnification distributions when lenses of Example 2 and three kinds of Prior art examples A, B, and C corresponding to the diopters of Example 2 are viewed along the principal sight lines
  • Fig. 24 shows Graph 2-3-Msh representing results, obtained by performing accurate magnification calculations, of the magnification distributions when the lenses of Example 2 and the three kinds of Prior art examples A, B
  • FIG. 25 shows Graph 2-3-Mpv representing results, obtained by performing accurate magnification calculations, of the magnification distributions when the lenses of Example 2 and the three kinds of Prior art examples A, B, and C corresponding to the diopters of Example 2 are viewed along the principal sight lines
  • Fig. 26 shows Graph 2-3-Mph representing results, obtained by performing accurate magnification calculations, of the magnification distributions when the lenses of Example 2 and the three kinds of Prior art examples A, B, and C corresponding to the diopters of Example 2 are viewed along the principal sight lines
  • Fig. 26 shows Graph 2-3-Mph representing results, obtained by performing accurate magnification calculations, of the magnification distributions when the lenses of Example 2 and the three kinds of Prior art examples A, B, and C corresponding to the diopters of Example 2 are viewed along the principal sight lines
  • FIG. 27 shows Graph 2-3-M ⁇ v representing results, obtained by performing accurate magnification calculations, of the magnification distributions when the lenses of Example 2 and the three kinds of Prior art examples A, B, and C corresponding to the diopters of Example 2 are viewed along the principal sight lines
  • Fig. 28 shows Graph 2-3-M ⁇ h representing results, obtained by performing accurate magnification calculations, of the magnification distributions when the lenses of Example 2 and the three kinds of Prior art examples A, B, and C corresponding to the diopters of Example 2 are viewed along the principal sight lines
  • Fig. 28 shows Graph 2-3-M ⁇ h representing results, obtained by performing accurate magnification calculations, of the magnification distributions when the lenses of Example 2 and the three kinds of Prior art examples A, B, and C corresponding to the diopters of Example 2 are viewed along the principal sight lines
  • FIG. 29 shows Graph 2-3-SMv representing results, obtained by performing accurate magnification calculations, of the magnification distributions when the lenses of Example 2 and the three kinds of Prior art examples A, B, and C corresponding to the diopters of Example 2 are viewed along the principal sight lines
  • Fig. 30 shows Graph 2-3-SMh representing results, obtained by performing accurate magnification calculations, of the magnification distributions when the lenses of Example 2 and the three kinds of Prior art examples A, B, and C corresponding to the diopters of Example 2 are viewed along the principal sight lines.
  • Fig. 31 shows Graph 3-3-Msv representing results, obtained by performing accurate magnification calculations, of magnification distributions when lenses of Example 3 and three kinds of Prior art examples A, B, and C corresponding to the diopters of Example 3 are viewed along principal sight lines
  • Fig. 32 shows Graph 3-3-Msh representing results, obtained by performing accurate magnification calculations, of the magnification distributions when the lenses of Example 3 and the three kinds of Prior art examples A, B, and C corresponding to the diopters of Example 3 are viewed along the principal sight lines
  • Fig. 31 shows Graph 3-3-Msv representing results, obtained by performing accurate magnification calculations, of magnification distributions when lenses of Example 3 and three kinds of Prior art examples A, B, and C corresponding to the diopters of Example 3 are viewed along the principal sight lines
  • Fig. 32 shows Graph 3-3-Msh representing results, obtained by performing accurate magnification calculations, of the magnification distributions when the lenses of Example 3 and the three kinds of Prior art
  • FIG. 33 shows Graph 3-3-Mpv representing results, obtained by performing accurate magnification calculations, of the magnification distributions when the lenses of Example 3 and the three kinds of Prior art examples A, B, and C corresponding to the diopters of Example 3 are viewed along the principal sight lines
  • Fig. 34 shows Graph 3-3-Mph representing results, obtained by performing accurate magnification calculations, of the magnification distributions when the lenses of Example 3 and the three kinds of Prior art examples A, B, and C corresponding to the diopters of Example 3 are viewed along the principal sight lines
  • Fig. 34 shows Graph 3-3-Mph representing results, obtained by performing accurate magnification calculations, of the magnification distributions when the lenses of Example 3 and the three kinds of Prior art examples A, B, and C corresponding to the diopters of Example 3 are viewed along the principal sight lines
  • Graph 3-3-M ⁇ v representing results, obtained by performing accurate magnification calculations, of the magnification distributions when the lenses of Example 3 and the three kinds of Prior art examples A, B, and C corresponding to the diopters of Example 3 are viewed along the principal sight lines
  • Fig. 36 shows Graph 3-3-M ⁇ h representing results, obtained by performing accurate magnification calculations, of the magnification distributions when the lenses of Example 3 and the three kinds of Prior art examples A, B, and C corresponding to the diopters of Example 3 are viewed along the principal sight lines
  • FIG. 37 shows Graph 3-3-SMv representing results, obtained by performing accurate magnification calculations, of the magnification distributions when the lenses of Example 3 and the three kinds of Prior art examples A, B, and C corresponding to the diopters of Example 3 are viewed along the principal sight lines
  • Fig. 38 shows Graph 3-3-SMh representing results, obtained by performing accurate magnification calculations, of the magnification distributions when the lenses of Example 3 and the three kinds of Prior art examples A, B, and C corresponding to the diopters of Example 3 are viewed along the principal sight lines.
  • Table 1-1 in Fig. 7 is a list regarding the surface refractive powers of Example 1 according to the present invention.
  • the diopter of a lens of Example 1 corresponds to S being 0.00 and ADD being 3.00, with three kinds of prior art examples having the same diopters being listed together for comparison.
  • Prior art example A, Prior art example B, and Prior art example C correspond to a "convex surface progressive-power lens" in which the object side surface is a progressive surface, a "bi-aspherical progressive-power lens” in which both the object side surface and eyeball side surface are progressive surfaces, and a "concave surface progressive-power lens” in which the eyeball side surface is a progressive surface, respectively. Meanings of items used in Table 1-1 are as follows:
  • Graph 1-1 As shown in the diagram, on a graph CV1 (solid line) showing the surface refractive power distribution in the vertical direction along the principal sight line on the object side surface, its refractive power distribution changes from a progressive zone to a near portion, but there is no change on a graph CH1 (dotted line) showing the surface refractive power distribution in the horizontal direction. Further, between the graph CV1 (solid line) showing the surface refractive power distribution in the vertical direction and the graph CH1 (dotted line) showing the surface refractive power distribution in the horizontal direction, the surface refractive power differs from the progressive zone to the near portion.
  • Graph 1-2 as shown in the diagram, on a graph CV2 (solid line) showing the surface refractive power distribution in the vertical direction along the principal sight line on the object side surface, its refractive power distribution does not change from the distance portion to the progressive zone to the near portion.
  • a graph CH2 (dotted line) showing the surface refractive power distribution in the horizontal direction differs in the surface refractive power from the progressive zone to the near portion.
  • the surface refractive power distributions of the graph CV2 (solid line) showing the surface refractive power distribution in the vertical direction and the graph CH2 (dotted line) showing the surface refractive power distribution in the horizontal direction differs from the progressive zone to the near portion, similarly to Graph 1-1.
  • the difference in the surface refractive powers has a distribution corresponding to Graph 1-1 in an inverse tendency, and it can be seen that the difference in the surface refractive powers is provided to offset the astigmatism occurring on the object side surface with respect to the ray passing through the principal sight line on the eyeball side surface.
  • Graphs A-1 and A-2, Graphs B-1 and B-2, and Graphs C-1 and C-2 are shown in Fig. 14 as graphs showing the surface refractive power distributions along the principal sight lines of the lenses of the three kinds of prior art examples having the same diopters, which are listed in Table 1-1. Note that, meanings of terms in these graphs are as follows:
  • the surface refractive powers at F1, N1, F2, and N2 on these graphs correspond to those in the aforementioned Table 1-1, and meanings of the terms such as DVf1 to DHn2 are also the same as those in the aforementioned Table 1-1.
  • one-dotted chain lines in the horizontal direction at the middle in these graphs show average surface refractive powers on the object side surface (total average values of the vertical and horizontal surface refractive powers at F1 and N1). Any of the average surface refractive powers on the object side surface in Example 1 according to the present invention and the three kinds of prior art examples was uniformly set to 5.50 diopter for comparison.
  • the next eight kinds of graphs starting with Graph 1-3- shown in Fig. 15 to Fig. 22 are graphs showing results, obtained by performing the above-described accurate magnification calculations, of magnification distributions when the lens of Example 1 according to the present invention is viewed along the principal sight line, with the horizontal axis indicating the lens upper side on the right hand side and the lens left lower side on the left hand side, and the vertical axis indicating the magnification.
  • a thick solid line is for Example 1
  • a thin chain line is for Prior art example A
  • a thick chain line is for Prior art example B
  • a thin solid line is for Prior art example C.
  • the eyeball turning angle ⁇ was indicated, with the eyeball tuning center point C being positioned on the normal line passing through the geometrical center GC on the object side lens surface, the rotating angle when the normal line and the sight line match to each other being regarded as 0 degree, and the upper portion shown with (+) and the lower portion shown with (-).
  • Table 1-2 in Fig. 7 is a list of results obtained by performing the above-described accurate magnification calculations for a specific sight line direction of Example 1 according to the present invention and the three kinds of lenses of prior art examples prepared for comparison, and corresponds to the above-described Graph 1-3-SMv (total magnification in the vertical direction) in Fig. 21 and Graph 1-3-SMh (total magnification in the horizontal direction) in Fig. 22 . Since magnification values are different between the vertical direction and horizontal direction as described above, both magnifications were calculated.
  • meanings represented by symbols in Table 1-2 are as follows:
  • SMvfn and SMhfn in Table 1-2 that is, the magnification difference in the vertical direction (SMvn - SMvf) and the magnification difference in the horizontal direction (SMhn - SMhf), show that the values of magnification differences of Example 1 according to the present invention are suppressed to as low as 0.1342 and 0.0954, whereas those of the prior art examples are 0.1380 and 0.1015 in A, 0.1360 and 0,0988 in B, and 0.1342 and 0.0961 in C.
  • the magnification difference between the distance portion and the near portion of Example 1 according to the present invention are made further smaller than those of Prior art 1, which shows that Example 1 is improved more greatly than Prior art 1 also in distortion and sway of an image.
  • the magnification in the vertical direction SMv Msv ⁇ Mpv ⁇ M ⁇ v
  • the magnification in the horizontal direction SMh Msh ⁇ Mph ⁇ Myh
  • Graph 1-3-SMv is obtained by multiplying three elements, that is, values of Graph 1-3-Msv, Graph 1-3-Mpv, and Graph 1-3-M ⁇ v
  • Graph 1-3-SMh is obtained by multiplying three elements, that is, values of Graph 1-3-Msh, Graph 1-3-Nfph, and Graph 1-3-M ⁇ h
  • the improvement in visual sense would be essentially seen as "bringing the ratio closer to 1" rather than “reducing the difference.” What is important here is that the sense of a square item looking flat or a circular item looking oval is not due to a "far-near ratio” but due to a "vertical-horizontal ratio.”
  • the present invention can provide, as a further important improvement, an improved effect of "capable of reducing the distortion and sway of an image” not only by “decreasing the magnification difference between the distance portion and the near portion” but also by “decreasing the magnification difference between the vertical direction and the horizontal direction to bring the magnification ratio closer to 1.” Note that these tendencies are prominent mainly in a portion lower than the near portion (at an eyeball turning angle of around -25 degrees and lower).
  • Fig. 39 is a view showing an astigmatism distribution in a transmission state of a double surface design lens
  • Fig. 40 is a view showing an average diopter distribution of the same.
  • Fig. 41 is a view showing an astigmatism distribution on the convex surface side (first surface) of the double surface design lens
  • Fig. 42 is a view showing an average diopter distribution of the same.
  • the progressive zone is in a substantially linear shape in the astigmatism distribution and the average diopter distribution.
  • the reason why the progressive zone is not a perfectly straight line is that it includes an aspheric component.
  • Fig. 43 is a view showing a diopter distribution in the horizontal direction on a refractive surface on the convex surface side (first surface) of the double surface design lens
  • Fig. 44 is a view showing a diopter distribution in the vertical direction on the refractive surface of the same.
  • Fig. 45 is a view showing an astigmatism distribution of the concave surface side of the double surface design lens
  • Fig. 46 is a view showing an average diopter distribution of the same.
  • Fig. 47 is a is a view showing a diopter distribution in the horizontal direction on a refractive surface on the concave surface side (second surface) of the double surface design lens
  • Fig. 48 is a view showing a diopter distribution in the vertical direction on the refractive surface of the same.
  • Fig. 49 is a view showing an astigmatism distribution on the convex surface side (first surface) of the lens according to prior arts
  • Fig. 50 is a view showing an average, diopter distribution of the same.
  • Fig. 51 is a view showing a diopter distribution in the horizontal direction on a refractive surface on the convex surface side (first surface) of the lens according to prior arts
  • Fig. 52 is a view showing a diopter distribution in the vertical direction on the refractive surface of the same.
  • the concave side surface (second surface) is a spherical surface or a cylindrical surface, and it is not possible to draw curved lines connecting equal level points of 0.25 diopter pitch, so that the curved lines are omitted.
  • Table 2-1 in Fig. 8 is a list regarding the surface refractive powers of Example 2 according to the present invention.
  • the diopter of a lens of Example 2 correspond to S being +6.00 and ADD being 3.00, with three kinds of prior art examples having the same diopters being listed together for comparison. It should be noted that the manner of description, terms, and so on of these prior art examples are the same as those in Example 1. (The same applies to the following explanations of examples.)
  • Graphs A-1 and A-2, Graphs B-1 and B-2, and Graphs C-1 and C-2 which are used in the above-described Example 1 are used again as graphs showing the surface refractive power distributions along the principal sight lines of the three kinds of prior art examples having the same diopters, which are listed in Table 2-1 for comparison. Therefore, meaning of terms in these graphs are the same as those in the above-described Example 1.
  • the surface refractive powers at F1, N1, F2, and N2 should correspond to those in Table 2-1, and any of the average surface refractive powers on the object side surfaces shown by one-dotted chain lines in the horizontal direction at the middle should have a deep curve of 10.50 diopter on the ground of correspondence to Table 2-1.
  • Example 2 it is possible that a combination of the refractive surfaces on the object side surface and the eyeball side surface gives a farsightedness diopter and an addition diopter based on prescription values, similarly to Example 1.
  • Example 2 Although any of the refractive indexes, objective powers, and eyeball turning angles used in Example 2 and the above-described three kinds of prior art examples was the same as that in the above-described Example 1, only the center thickness t was set at 6.0 mm close to an actual product because Example 2 and the above-described three kinds of prior art examples have diopters of S being +6.00 and ADD being 3.00.
  • Table 2-2 in Fig. 8 is a list of results obtained by performing accurate magnification calculations for a specific sight line direction of Example 2 according to the present invention and three kinds of prior art examples prepared for comparison, and corresponds to the above-described Graph 2-3-SMv (total magnification in the vertical direction) and Graph 2-3-SMh (total magnification in the horizontal direction).
  • meanings represented by symbols in Table 2-2 are the same as those in the above-described Table 1-2.
  • SMvfn and SMhfn in Table 2-2 that is, the magnification difference in the vertical direction (SMvn - SMvf) and the magnification difference in the horizontal direction (SMhn - SMhf), show that the values of magnification differences of Example 2 according to the present invention are suppressed to as low as 0.2151 and 0.1199, whereas those of the prior art examples are 0.2275 and 0.1325 in A, 0.2277 and 0.1268 in B, and 0.2280 and 0.1210 in C.
  • the magnification difference between the distance portion and the near portion of Example 2 according to the present invention are made further smaller than those of Prior art 1, which shows that Example 2 is improved more greatly than Prior art 1 also in distortion and sway of an image.
  • Example 2 magnification distributions of an image in the vertical direction and the horizontal direction are apparently different.
  • Example 2 Graph 2-3-SMv is obtained also in Example 2 by multiplying three elements, that is, values of Graph 2-3-Msv, Graph 2-3-Mpv, and Graph 2-3-M ⁇ v, and similarly Graph 2-3-SMh is obtained by multiplying three elements, that is, values of Graph 2-3-Msh, Graph 2-3-Mph, and Graph 2-3-M ⁇ h.
  • Example 2 it is shown also in Example 2, as in the above-described Example 1, that the major cause of the difference between Graph 2-3-SMv in Fig. 29 and Graph 2-3-SMh in Fig. 30 is the difference between M ⁇ v and M ⁇ h, the secondary cause thereof is the difference between Mpv and Mph, and there is no obvious difference found between Msv and Msh, which are almost irrelevant thereto. Further, there is no difference found among the examples in the magnification difference between the distance and near portions, as long as in the scale used in Example 2 of the present invention, in the shape factors Msv and Msh, which are regarded as reasons of improvement in Prior art 1.
  • Example 1 the present invention can provide as a further important improvement, also in Example 2, an improved effect of "capable of reducing the distortion and sway of an image” not only by “decreasing the magnification difference between the distance portion and the near portion” but also by “decreasing the magnification difference between the vertical direction and the horizontal direction to bring the magnification ratio closer to 1.”
  • These tendencies are prominent mainly in a portion lower than the near portion (at an eyeball turning angle of around -25 degrees and lower).
  • Table 3-1 in Fig, 9 is a list regarding the surface refractive powers of Example 3 according to the present invention.
  • the diopters of Example 3 correspond to S being -6.00 and ADD being 3.00, with three kinds of prior art examples having the same diopters being listed together for comparison,
  • Graphs 3-1 and 3-2 in Fig. 11 are graphs showing the surface refractive power distributions along the principal sight lines of Example 3 according to the present invention.
  • Graph 3-1 corresponds to the object side surface
  • Graph 3-2 corresponds to the eyeball side surface.
  • Graphs A-1 and A-2, Graphs B-1 and B-2, and Graphs C-1 and C-2 which are used in the above-described Examples 1 and 2 are used again as graphs showing the surface refractive power distributions along the principal sight lines of the three kinds of prior art examples having the same diopters, which are listed in Table 3-1 in Fig. 9 for comparison.
  • the surface refractive powers at F1, N1, F2, and N2 should correspond to those in the aforementioned Table 3-1, and any of the average surface refractive powers on the object side surface shown by one-dotted chain lines in the horizontal direction at the middle should have a shallow curve with 2.50 diopter for the ground of correspondence to Table 3-1.
  • the next eight kinds of graphs starting with Graph 3-3- shown in Fig. 31 to Fig. 38 are graphs showing results, obtained by performing the above-described accurate magnification calculations, of magnification distributions when the lens of Example 3 is viewed along the principal sight line.
  • any of the refractive indexes, objective powers, and eyeball turning angles used in Example 3 and the above-described three kinds of prior art examples was the same as that in the above-described Examples 1 and 2, only the center thickness t was set to 1.0 mm close to an actual product because Example 3 and the above-described three kinds of prior art examples had diopters of S being -6.00 and ADD being 3.00.
  • Table 3-2 in Fig. 9 is a list of results obtained by performing accurate magnification calculations for a specific sight line direction of Example 3 according to the present invention and three kinds of prior art examples prepared for comparison, and corresponds to the above-described Graph 3-3-SMv (total magnification in the vertical direction) and Graph 3-3-SMh (total magnification in the horizontal direction).
  • meanings represented by symbols in Table 3-2 are the same as those the meanings in the above-described Table 1-2 and Table 2-2.
  • SMvfn and SMhfn in Table 3-2 that is, the magnification difference in the vertical direction (SMvn - SMvf) and the magnification difference in the horizontal direction (SMhn - SMhf), show that the values of magnification differences of Example 3 according to the present invention are at 0.0512 and 0.0726, whereas those of the prior art examples are 0.0475 and 0.0774 in A, 0.0418 and 0.0750 in B, and 0.0363 and 0.0727 in C, showing that in Example 3 the magnification difference in the vertical direction increases, whereas the magnification difference in the horizontal direction decreases.
  • magnification difference in the vertical direction having a low value, which is 1/3 to 1/5 that of the above-described Examples 1 and Example 2, with a slight decrease in the magnification difference in the horizontal direction, it can be said that there is not so great magnification difference between the distance portion and the near portion of Example 3 as compared to those of Prior art 1.
  • Example 3 shows that Example 3, as compared to the prior art examples, has the least "tendency of the magnification in the vertical direction to be smaller than 1" especially in a portion lower than the near portion (at an eyeball turning angle of around -20 degrees and lower), which results in the least "magnification difference between the vertical direction and the horizontal direction” so that distortion and sway of an image are improved further than in the prior art examples.
  • Example 3 As compared to the prior art examples, the magnification in the vertical direction is closest to 1 especially in the portion lower than the near portion (at an eyeball turning angle of around -20 degrees and lower), which results in the least "magnification difference between the vertical direction and the horizontal direction" so that distortion and sway of an image are improved further than in the prior art examples. Note that these tendencies are prominent mainly in the portion lower than the near portion (at an eyeball turning angle of around -25 degrees and lower).
  • Example 1 and Example 2 of the present invention found among the examples in the magnification difference between the distance and near portions even in the scale used in Example 3, in the shape factors Msv and Msh which are regarded as reasons of improvement in Prior art 1,
  • Examples 4 to 6 are shown here as application examples having the same diopters as Example 1, and Example 7 as an application example having the same diopters as Example 2.
  • Lists and graphs of the surface refractive powers and results obtained by performing accurate magnification calculations for a specific sight line direction of these examples are shown in Table 1-1 and Table 1-2 in Fig. 7 and Graphs 4-1 and 4-2 to Graphs 7-1 and 7-2 in Fig 12 to Fig. 14 .
  • the present invention it is also possible to meet the demand for custom-made product (individual design) by incorporating, into the lens design as input information, not only usual prescription values but also, for example, the distance from the corneal vertex to the lens rear vertex, the distance from the eyeball rotating center to the lens rear vertex, the degree of aniseiconia between right and left eyes, the difference in height between right and left eyes, the object distance in nearsightedness most frequently used, the forward tilt angle (in an up-down direction) and horizontal tilt angle (in a right-left direction) of a frame, the bevel position in the edge thickness of the lens, and so on, as individual factors of spectacle wearers which have been rarely grasped by lens manufactures.
  • a first bi-aspherical type progressive-power lens according to Modification Example 1 is a bi-aspherical type progressive-power lens with a progressive refractive power action dividedly allotted to a first refractive surface being an object side surface and a second refractive surface being an eyeball side surface, in which when on the first refractive surface, a surface refractive power in a horizontal direction and a surface refractive power in a vertical direction, at a farsightedness diopter measurement position F1, are DHf and DVf respectively, and on the first refractive surface, a surface refractive power in a horizontal direction and a surface refractive power in a vertical direction, at a nearsightedness diopter measurement position N1, are DHn and DVn respectively, the relation of DVn and DVf is expressed by DVn - DVf > ADD / 2 , surface astigmatism components at F1 and N1 of the first refractive surface are offset by the second refractive surface, and a
  • a second bi-aspherical type progressive-power lens according to Modification Example 1 is a bi-aspherical type progressive-power lens with a progressive refractive power action dividedly allotted to a first refractive surface being an object side surface and a second refractive surface being an eyeball side surface, in which when on the first refractive surface, a surface refractive power in a horizontal direction and a surface refractive power in a vertical direction, at a farsightedness diopter measurement position F1, are DHf and DVf respectively, and on the first refractive surface, a surface refractive power in a horizontal direction and a surface refractive power in a vertical direction, at a nearsightedness diopter measurement position N1, are DHn and DVn respectively, a relational equation, DVn - DVf > ADD/2 is satisfied, and surface astigmatism components at F1 and N1 of the first refractive surface are offset by the second refractive surface, and a combination of the first and second ref
  • This sectional curve can be determined by means of a technique used when determining a diopter distribution in the vertical direction of a principal meridian on a conventional progressive-power lens. (For example, refer to a design technique in Japanese Patent Publication No. 2549738 by the inventors of the present invention.)
  • a rotation surface with the curved line being a generatrix is defined.
  • the sweep surface means a surface on which a generatrix is swept along a three-dimensional curved line (hereinafter referred to as sweep line).
  • FIG. 57 An example of a general sweep surface is shown in Fig. 57 .
  • a solid line in the vertical direction passing through F1 in Fig. 57 is a meridian.
  • Fig. 58 is a view of the meridian in Fig. 57 when viewed from the side of a lens, with O1 showing a center of curvature of the meridian at F1 and the length of an arrow from O1 to F1 showing a radius of curvature of the meridian at F1. Arrows have lengths which get shorter from the upper side to the lower side, showing that the radius of curvature progressively changes along the meridian.
  • a dotted line in the horizontal direction passing through F1 in Fig. 57 is the sweep line.
  • Fig. 59 is a view of the sweep line in Fig. 57 when viewed from the upper side of the lens, with O1 showing a center of curvature of the sweep line at F1 and the length of an arrow from O1 to F1 showing a radius of curvature of the sweep line at F1.
  • the three arrows have the same length, showing that the sweep line is a circle with O1 being the center.
  • Fig. 60 to Fig. 62 show examples of various sweep lines.
  • Fig. 60 shows an example of a sweep line having a radius of curvature which gets smaller as it gets away from F1
  • Fig. 61 shows an example of a sweep line having a radius of curvature which gets larger as it gets away from F1, and
  • Fig. 62 shows an example of a sweep line having a radius of curvature which changes differently depending on a direction of getting away from F1.
  • the sweep surface including the rotation surface used in Modification Example 1 is one having particularly the following characteristics, which will be described with reference to Fig. 53 to Fig. 55 .
  • Fig. 53 is a view showing a diopter distribution (first surface) in the vertical direction on the object side surface of the lenses according to Modification Example 1
  • Fig. 54 is a view showing a surface astigmatism distribution on the object side surface of the lenses according to Modification Example 1
  • Fig. 55 is a view showing a surface average diopter distribution on the object side surface of the lenses according to Modification Example 1.
  • Each view shows by a dotted line a rectangle surrounded by two horizontal lines located on a sectional curve in the vertical direction passing through F1 at ⁇ 4 mm in the vertical direction, with a position providing 50% of a change of a sectional diopter in the vertical direction ranging from F1 to the same height as N1 being the center, and two vertical lines located at ⁇ 15 mm in the horizontal direction from a straight line in the vertical direction passing through F1.
  • Fig. 56 is a graph showing a diopter change on the sectional curve in the vertical direction passing through F1.
  • the vertical direction shows a distance
  • the horizontal direction shows the percentage of a diopter variation with respect to the diopter at F1, with the change of the diopter ranging from F1 to the same height as an nearsightedness diopter measurement position N1 being 100%.
  • the center position of the rectangle in the vertical direction is a portion corresponding to 50% as shown in Fig. 56 .
  • This rectangular region is a region which most prominently shows characteristics of a progressive action on the progressive-power lens.
  • a diopter in the vertical direction does not change with respect to movement in the horizontal direction. Therefore, when contour lines of a sectional diopter distribution in the vertical direction shown in Fig. 53 is viewed, they are in a form of horizontal line inside the rectangle. Further, on the rotation surface, contour lines of the surface astigmatism distribution shown in Fig. 54 and contour lines of the surface average diopter distribution shown in Fig. 55 are in a form of horizontal line in the rectangle, similarly to the contour lines of the sectional diopter distribution in the vertical direction.
  • the lenses according to Modification Example 1 includes not only an accurate sweep surface but also a sweep surface to which a slight aspherical correction is added. Therefore, the lens has a characteristic such that although each distribution is not perfectly horizontal, at any position in the rectangle on a surface based on the sweep surface, a surface sectional diopter in the vertical direction has differential values such that the absolute value of a differential value in the vertical direction is larger than the absolute value of a differential value in the horizontal direction. Also, the lens has a characteristic such that, at any position in the rectangle on a surface based on the rotation surface, a surface astigmatism amount and a surface average diopter have differential values such that the absolute value of a differential value in the vertical direction is larger than the absolute value of a differential value in the horizontal direction.
  • Absolute values of respective differential values at the center of the above-described rectangle on the rotation surface, namely, at the position providing 50% of a change of the sectional diopter in the vertical direction ranging from F1 to the same height as N1 on the sectional curve in the vertical direction passing through F1 will be shown below.
  • the differential values in the horizontal direction are all zero. Further, it is preferable to add an aspherical correction, which is "correction action for eliminating or reducing occurrence of astigmatism and change in diopter primarily caused by impossibility of a sight line intersecting at right angles with a lens surface, to one or both of the object side surface and the eyeball side surface.
  • an aspherical correction which is "correction action for eliminating or reducing occurrence of astigmatism and change in diopter primarily caused by impossibility of a sight line intersecting at right angles with a lens surface.
  • differential values in the horizontal direction also have some value.
  • the characteristic such that the absolute value of a differential value in the vertical direction is larger than the absolute value of a differential value in the horizontal direction should be kept.
  • the eyeball side surface is generally a curved surface in a complicated form, so that a spline curved surface is used.
  • a spherical surface being an initial form, parameters of the curved surface are changed so as to realize a desired transmission aberration distribution, prescription diopter, progressive zone length, and inner shift while evaluating the transmission aberration distribution by ray tracing calculation, thereby defining the eyeball side surface.
  • the object side surface and the eyeball side surface are designed.
  • the bi-aspherical type progressive-power lens according to Modification Example 2 is a bi-aspherical type progressive-power lens with a progressive refractive power action dividedly allotted to a first refractive surface being an object side surface and a second refractive surface being an eyeball side surface, the bi-aspherical type progressive-power lens having a structure in which when on the first refractive surface, a surface refractive power in a horizontal direction and a surface refractive power in a vertical direction, at a nearsightedness diopter measurement position N1, are DHn and DVn respectively, a relational equation, DVn - DHn > ADD/2 is satisfied, and a surface astigmatism component at N1 of the first refractive surface is offset by the second refractive surface, and a combination of the first and second refractive surfaces gives a nearsightedness diopter (Dn) based on prescription values.
  • Dn nearsightedness diopter
  • the bi-aspherical type progressive-power lens according to Modification Example 2 has a structure, in addition to the above-described structure, in which when on the first refractive surface, a surface refractive power in a horizontal direction and a surface refractive power in a vertical direction, at a farsightedness diopter measurement position F1, are DHf and DVf respectively, and on the first refractive surface, a surface refractive power in a horizontal direction and a surface refractive power in a vertical direction, at a nearsightedness diopter measurement position N1, are DHn and DVn respectively, relational equations, DHf + DHn ⁇ DVf + DVn , and DVn - DVf > ADD / 2 , and DHn - DHf ⁇ ADD / 2 are satisfied, and surface astigmatism components at F1 and N1 of the first refractive surface are offset by the second refractive surface, and a combination of the first and second refractive surfaces gives
  • the bi-aspherical type progressive-power lens according to Modification Example 2 has a structure, in addition to either one of the above-described two structures, in which the first refractive surface is bilaterally symmetrical with respect to one meridian passing through the farsightedness diopter measurement position F1, the second refractive surface is bilaterally asymmetrical with respect to one meridian passing through a farsightedness diopter measurement position F2 of the second refractive surface, and a position of a nearsightedness diopter measurement position N2 on the second refractive surface is shifted inward to a nose by a predetermined distance to respond to a convergence action of an eye in nearsightedness.
  • the bi-aspherical type progressive-power lens according to Modification Example 2 has a structure, in addition to any one of the above-described three structures, in which the first refractive surface is a rotation surface with as a generatrix one meridian passing through the farsightedness diopter measurement position F1, the second refractive surface is bilaterally asymmetrical with respect to one meridian passing through a farsightedness diopter measurement position F2 on the second refractive surface, and a position of a nearsightedness diopter measurement position N2 on the second refractive surface is shifted inward to a nose by a predetermined distance to respond to a convergence action of an eye in nearsightedness.
  • the first refractive surface is a rotation surface with as a generatrix one meridian passing through the farsightedness diopter measurement position F1
  • the second refractive surface is bilaterally asymmetrical with respect to one meridian passing through a farsightedness diopter measurement position F2 on the second refractive surface
  • the bi-aspherical type progressive-power lens according to Modification Example 2 has a structure, in addition to any one of the above-described four structures, in which on the first refractive surface, a sectional curve in the horizontal direction passing through the farsightedness diopter measurement position F1 is not a perfect circle but has a predetermined refractive power change, and a sectional curve of a cross section in the vertical direction including a normal line at any position on the sectional curve in the horizontal direction is substantially the same as a meridian passing through the farsightedness diopter measurement position F1.
  • the bi-aspherical type progressive-power lens according to Modification Example 2 has a structure, in addition to any one of the above-described five structures, in which in a structure of a combination of the first and second refractive surfaces giving the farsightedness diopter (Df) and the addition diopter (ADD) based on the prescription values and providing as necessary a prism refractive power (Pf), any or all of occurrence of astigmatism and a diopter error and occurrence of distortion of an image in a peripheral visual field caused by impossibility of a sight line intersecting at right angles with a lens surface in a wearing state are reduced.
  • Df farsightedness diopter
  • ADD addition diopter
  • Fig. 57 shows a first refractive surface which is the object side surface of the bi-aspherical type progressive-power lens according to Modification Example 2.
  • a sectional curve (solid line) in the vertical direction passing through the farsightedness diopter measurement position F1 shown by a white circle in Fig. 57 is called a meridian, which means the "meridian passing through the farsightedness diopter measurement position F1" described in third to fifth structures described in "Means for Solving the Problems.”
  • dotted lines show horizontal sectional curves.
  • Fig. 58 is a view of the meridian shown by the solid line in Fig. 57 when viewed from the side of the lens.
  • Fig. 58 shows that the lens has a section in which a radius of curvature decreases gradually from the upper side to the lower side of the lens and provides a so-called progressive surface refractive power change.
  • O1 shows the center of curvature and a one-dotted chain line shows a rotation axis passing through O1.
  • Fig. 59 is a view of a horizontal sectional curve shown by a dotted line in Fig. 57 when viewed from the upper side of the lens, and O1 shows the center of curvature of this horizontal sectional curve.
  • the horizontal sectional curve shown by a dotted line in Fig. 59 is an arc.
  • the first refractive surface drawn in Fig. 57 can be obtained by rotating the meridian shown in Fig. 58 about the rotation axis passing through O1.
  • Fig. 60 is a first modification example of the horizontal sectional curve shown in Fig. 59 when viewed from the upper side of the lens
  • Fig. 61 is a second modification example of the horizontal sectional curve shown in Fig. 59 when viewed from the upper side of the lens
  • Fig. 62 is a third modification example of the horizontal sectional curve shown in Fig. 59 when viewed from the upper side of the lens
  • Fig. 60 shows an example of a horizontal sectional curve having a radius of curvature which gets smaller as it gets away from F1 to the side.
  • Fig. 61 shows an example of a horizontal sectional curve having a radius of curvature which gets larger, inversely to Fig. 60 , as it gets away from F1 to the side.
  • Fig. 62 shows an example of a horizontal sectional curve in which both the examples of Fig. 60 and Fig. 61 coexist.
  • the purpose of this is to use change in shape magnification of an image viewed through the lens, and thereby a shape magnification of an image along the horizontal sectional curve can be controlled to be preferable for a wearer.
  • taking the form of Fig. 62 enables control of a shape magnification on the nose side and the ear side while wearing.
  • Fig. 63 and Fig. 64 are views showing a surface astigmatism distribution and a surface average diopter distribution on the object side surface (first surface) of a lens according to Modification Example 3 of the embodiment.
  • the manner of drawing the views are the same as those in the views showing the surface astigmatism distribution and the surface average diopter distribution of the lenses, such as the above-described Fig. 41 and Fig. 42 .
  • ADD addition diopter
  • the purpose of making DHn to be a deeper curve than DHf is to prevent that the eyeball side surface (second surface) of the lens becomes a convex surface shape and thus the entire lens does not become a meniscus shape when producing a strong positive farsightedness diopter using the object side surface (first surface) of the lens.
  • Fig. 65 and Fig. 66 are views showing a surface astigmatism distribution and a surface average diopter distribution on the eyeball side surface (second surface) of the lens according to Modification Example 3 of the above-described embodiment.
  • the manner of drawing the views are the same as in the views showing the surface astigmatism distribution and the surface average diopter distribution of a lens, such as the above-described Fig. 45 and Fig. 46 .
  • a definition of "predetermined addition diopter" in the present invention is a difference in refractive power measured by placing an opening portion of a lens meter on the farsightedness diopter measurement position F1 and the nearsightedness diopter measurement position N1 on the object side surface
  • the definition is a difference in refractive power measured by placing an opening portion of a lens meter on the farsightedness diopter measurement position F2 and the nearsightedness diopter measurement position N2 on the eyeball side surface
  • the definition is a difference between a refractive power measured by placing an opening portion of a lens meter on the farsightedness diopter measurement position F2 on the object side surface and a refractive power measured at N3 by turning an opening portion of a lens meter toward the nearsightedness diopter measurement position N2 about the eyeball rotating center position
  • a case that, as respective refractive powers, particularly only the refractive power component in the horizontal direction is used, and the like, and any definition

Claims (3)

  1. Linse vom biaspherischen Typ mit progressiver Wirkung, mit einer progressiven Brechkraftwirkung, die verteilt auf eine erste brechende Oberfläche zugeteilt ist, die eine objektseitige Oberfläche ist, und eine zweite brechende Oberfläche, die eine augenseitige Oberfläche ist,
    wobei dann, wenn eine Oberflächenbrechkraftwirkung in einer horizontalen Richtung und eine Oberflächenbrechkrafiwirkung in einer vertikalen Richtung an einer Nahsicht-Dioptermessposition N1 auf der ersten brechenden Oberfläche DHn bzw. DVn sind, eine Relationsformel ausgedrückt wird durch DVn - DHn > ADD / 2 ,
    Figure imgb0052
    eine Oberflächenastigmatismuskomponente bei N1 auf der ersten brechenden Oberfläche durch die zweite brechende Oberfläche ausgeglichen wird, und eine Kombination der ersten und der zweiten brechenden Oberfläche einen Nahsichtdioptriewert (Dn) basierend auf Verschreibungswerten ergibt, und
    die zweite brechende Oberfläche bilateral asymmetrisch ist bezüglich eines Meridians, der durch eine Fernsicht-Dioptermessposition F2 auf der zweiten brechenden Oberfläche verläuft, und eine Nahsicht-Dioptermessposition N2 auf der zweiten brechenden Oberfläche um einen vorbestimmten Abstand einwärts zu einer Nase hin verschoben ist, und wobei
    (A1); der Fernsichtdioptriewert (Df) und der Zusatzdioptriewert (ADD) basierend auf den Verschreibungswerten durch eine Kombination der ersten und der zweiten brechenden Oberflächen gegeben ist,
    (A2): eine Prismenbrechkraftwirkung (Pf) durch eine Kombination der ersten und zweiten brechenden Oberflächen gegeben ist, und
    (A3): wenn die Konfigurationen (A1) und (A2) erreicht sind, wenigstens eines oder mehrere aus Astigmatismus, Diopterwertfehler und Verzerrung eines Bilds in einem peripheren Sichtfeld, was aufgrund des Umstands auftritt, dass die Sichtlinie und eine Linsenoberfläche in einem Tragezustand sich nicht rechtwinklig schneiden können, durch eine aspherische Korrektur korrigiert wird, und
    wobei eine Verteilung von Transmissionsastigmatismus in einem Nahteil der Linse vom biaspherischen Typ mit progressiver Wirkung derart angeordnet ist, dass er an einer Nasenseite dicht und an einer Schläfenseite gering ist.
  2. Linse vom biaspherischen Typ mit progressiver Wirkung nach Anspruch 1, wobei
    an einer beliebigen Position in einem Rechteck, umgeben durch zwei horizontale Linien, die positioniert sind bei vertikal ± 4mm von einem Zentrum bei einer Position von 50% einer Veränderung des Querschnittsdioptriewerts in der vertikalen Richtung von F1 zu der gleichen Höhenposition wie N1, wobei das Zentrum und die gleiche Höhenposition auf der durch F1 verlaufenden Querschnittskurve in der vertikalen Richtung liegen, sowie durch zwei vertikale Linien, die positioniert sind bei horizontal ± 15mm von einer durch F1 verlaufenden vertikalen geraden Linie,
    ein Absolutwert eines vertikalen Differenzwerts größer ist als der Absolutwert eines horizontalen Differenzwerts, bezogen auf einen Differenzwert einer vertikalen Querschnittsoberflächenwirkung auf der ersten brechenden Oberfläche.
  3. Linse vom biaspherischen Typ mit progressiver Wirkung nach Anspruch 1 , wobei
    auf der ersten brechenden Oberfläche eine Querschnittskurve in der horizontalen Richtung, die durch die Fernsicht-Dioptermessposition F1 verläuft, kein perfekter Kreis ist, sondern eine vorbestimmte Veränderung der Brechkraftwirkung aufweist, und
    wobei eine Querschnittskurve eines Querschnitts in der vertikalen Richtung einschließlich einer normalen Linie bei irgendeiner Position auf der Querschnittskurve in der horizontalen Richtung im Wesentlichen gleich einem Meridian ist, der durch die Fernsicht-Dioptermessposition F1 verläuft.
EP08158381A 2003-11-27 2004-11-29 Biasphärische progressive Brillenlinse und Methode zu deren Herstellung Active EP1962127B1 (de)

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EP1691232A1 (de) 2006-08-16
US20070182923A1 (en) 2007-08-09
ATE439617T1 (de) 2009-08-15
AU2004312672A1 (en) 2005-07-21
ES2328249T3 (es) 2009-11-11
JP4408112B2 (ja) 2010-02-03
EP1962127A2 (de) 2008-08-27
US7399080B2 (en) 2008-07-15
EP1962127A3 (de) 2009-02-25
EP1691232B1 (de) 2009-08-12
DE602004022582D1 (de) 2009-09-24
AU2004312672B2 (en) 2010-07-15
KR20060108689A (ko) 2006-10-18
WO2005066696A1 (ja) 2005-07-21
JPWO2005066696A1 (ja) 2007-12-20
KR100770508B1 (ko) 2007-10-25
EP1691232A4 (de) 2007-03-14

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